DERIVATION OF EQUATIONS FOR THE STRESSES AND STRAINS IN A CYLINDRICAL VISCOELASTIC CASE BONDED GRAIN

Abstract

Volterra integral equations governing the stresses and strains in a rocket motor and the enclosed propellant grain are derived. The propellant is considered to be linearly viscoelastic in shear and purely elastic when subjected to hydrostatic pressure. The combined effects of tension, internal pressure, and an eroding inner boundary are considered, with both body force and acceleration terms omitted from the equations of equilibrium. Dynamic stresses under conditions of plane strain are also considered. The treatment is based on the Fourier transform and the complex modulus in shear. Bessel functions of complex argument are required in the solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1961
Accession Number
AD0264966

Entities

People

  • A.s. Elder

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Boundaries
  • Equations
  • Hydrostatic Pressure
  • Integral Equations
  • Integrals
  • Internal Pressure
  • Mathematics
  • Propellant Grains
  • Propellants
  • Rocket Engines
  • Rockets

Readers

  • Calculus or Mathematical Analysis
  • Rocket Propulsion.
  • Structural Dynamics.